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Finding the Fourth Proportional to 13,180.68, 18,189.18 and 7,212.27

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Solution

The fourth proportional to 13,180.68, 18,189.18 and 7,212.27 is: 9,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.68 : 18,189.18 = 7,212.27 : x
  2. Step 2: Convert to fraction form
    13,180.68/18,189.18 = 7,212.27/x
  3. Step 3: Cross multiply
    13,180.68x = 18,189.18 × 7,212.27
  4. Step 4: Simplify right side
    13,180.68x = 131,185,277.24
  5. Step 5: Solve for x
    x = 131,185,277.24/13,180.68
  6. Step 6: Final answer
    x = 9,952.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.